Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The number of elements in the set {z = a + ib
C : a, b
Z and 1< |z-3 + 2i| < 4} is _______ .
Text Solution
Verified by ExpertsThe correct answer is:
40
(40)


1< (a - 3) 2 + (b + 2) 2 <16
(0, ±2), (±2, 0), (±1, ±2), (±2, ±1)
(±2, ±3), (3±, ±2), (±1, ±1), (2±, ±2)
(±3, 0), (0, ±3), (±3, ±1), (±1, ±3)
Total 40 points
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let and . Then, :
Let a circle C in complex plane pass through the points z 1 = 3 + 4i, z 2 = 4 + 3i and z 3 = 5i. If…
Let z 1 and z 2 be two complex numbers such that and . Then
Let and . Then A B is:
The area of the polygon, whose vertices are the non-real roots of the equation :
The number of points of intersection of |z-(4 + 3i)| = 2 and |z| + |z-4| = 6, z C is :